2100132100 has 72 divisors (see below), whose sum is σ = 4984056000. Its totient is φ = 761769600.

The previous prime is 2100132029. The next prime is 2100132101. The reversal of 2100132100 is 12310012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2100132101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480726 + ... + 485074.

It is an arithmetic number, because the mean of its divisors is an integer number (69223000).

Almost surely, 2^2100132100 is an apocalyptic number.

2100132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492028000).

2100132100 is an abundant number, since it is smaller than the sum of its proper divisors (2883923900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2100132100 is a wasteful number, since it uses less digits than its factorization.

2100132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2100132100 is about 45827.1982560575. The cubic root of 2100132100 is about 1280.6060159336.

Adding to 2100132100 its reverse (12310012), we get a palindrome (2112442112).

The spelling of 2100132100 in words is "two billion, one hundred million, one hundred thirty-two thousand, one hundred".